Consider a system designed to process a long sequence of data pairs. This system maintains a single, fixed-size memory state. At each step, it takes the current data pair and the previous memory state, and uses a complex update function to compute a new memory state that summarizes all information seen up to that point. Critically evaluate the suitability of this system for a task that requires retrieving the exact, verbatim details of a data pair that appeared very early in a long sequence. Justify your reasoning.